High-accuracy discretization methods for solid mechanics

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Authors

  • A.I. Tolstykh Computing Centre of Russian Academy of Sciences, Russia
  • M.V. Lipavskii Computing Centre of Russian Academy of Sciences, Russia
  • D.A. Shirobokov Computing Centre of Russian Academy of Sciences, Russia

Abstract

Novel high-accuracy computational techniques for solid mechanics problems are presented. They include fourth-order and arbitrary-order finite difference methods based on Pade-type differencing formulas and a meshless method which uses radial basis functions in a "finite difference" mode. Some results illustrating high performance of the suggested numerical methods are displayed.